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作者:COX, NR
作者单位:Imperial College London
摘要:When observations on 2 variables are sampled from 2 or more distinct populations, the linear structural relation between the 2 variables can be estimated consistently. The maximum likelihood estimators of the parameters in the model are found; they have different forms in different parts of the sample space. A procedure for testing hypotheses about the parameter usually of principal interest, the slope of the relation, is derived; it is complicated by the unusual nature of the parameter estima...
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作者:LAM, K; CHIU, WK
作者单位:University of Hong Kong
摘要:In the (.delta.*, P*) approach to the selection of the best of several normal populations there is a fundamentally important open question of whether the probability of correct selection increases with each of the sample sizes. Such monotonicity generally does not hold.
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作者:FIENBERG, SE; LARNTZ, K
作者单位:University of Minnesota System; University of Minnesota Twin Cities
摘要:Log linear model representations for the Bradley-Terry paired comparisons and Luce multiple comparisons models are developed. Various multivariate extensions of the Bradley-Terry model are considered. A model is presented, similar to one of Davidson and Bradley (1969), but which is based on the log odds ratio as a measure of association rather than the .phi. coefficient of correlation. By the adaptive use of log linear model theory, complex data sets involving paired and multiple comparisons a...
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作者:ALTHAM, PME
作者单位:University of Cambridge
摘要:When categorical data arise from individuals grouped into families, because of the within-family dependence the conventional methods of inference, which are based on multinomial sampling, are generally inappropriate, for example in testing simple or complex hypotheses about the unknown cell probabilities. Inequalities for the appropriate chi-squared statistics are derived under very weak assumptions about the nature of the within-family dependence. Cohen (1976) introduced the problem in a demo...
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作者:UPTON, GJG; LEE, RD
作者单位:University of Essex
摘要:The sequential allocation of treatments by an experimenter is considered in the context of the patient horizon. The importance of taking into account the whole of the patient population in designing the trial is illustrated for play-the-winner allocation and vector-at-a-time allocation, both with success lead termination. The optimal scheme minimizes the total number of patients who receive the poorer treatment. The difference between the 2 allocation schemes is small compared with the differe...
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作者:CLAYTON, DG
作者单位:University of London; London School of Hygiene & Tropical Medicine
摘要:Clayton (1974) proposed odds ratio statistics to estimate a difference in location between 2 distributions of an ordered categorical variable. This method is extended to the case where some observations are subject to censorship and an example of its use for comparison of patient survival time distributions is discussed.
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作者:BRADLEY, RA; ELHELBAWY, AT
作者单位:State University System of Florida; Florida State University; Egyptian Knowledge Bank (EKB); Cairo University
摘要:A simple procedure for consideration of specified treatment contrasts or sets of contrasts in a paired comparisons experiment is developed. General likelihood estimation and likelihood ratio tests are given. Specified treatment comparisons as appropriate in a particular experiment may be made. The procedure may be used for consideration of factor effects and interactions when the treatments in paired comparisons are factorial treatment combinations. An example is given of a [human] taste prefe...
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作者:OHAGAN, A
作者单位:University of Dundee
摘要:Posterior joint modes are often used as point estimators in Bayesian applications to avoid laborious numerical integration of complicated posterior densities. Methods facilitating the straightforward computation of posterior marginal modes in a wide variety of models are presented, and whether marginal modes provide better approximations than joint modes to the posterior means is discussed.
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作者:KELLY, FP; RIPLEY, BD
作者单位:University of Cambridge
摘要:It is shown how Strauss''s model for clustering arises naturally from a family of finite point processes with a Markov property and as the equilibrium distributions of certain Markov processes. Examples of spatial birth-and-death processes are given.
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作者:MARDIA, KV
作者单位:University of Leeds
摘要:Some correlation coefficients when one variable is linear and another is circular are proposed. The relationship between geographic latitude and simian natality is discussed as an example.